Elliptic curve isogeny class with Cremona label 23120bk (LMFDB label 23120.j)

• Label: 23120bk
• Number of curves: $4$
• Conductor: $23120$
• CM: no
• Rank: $1$

Elliptic curves in class 23120bk

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
23120.j2	23120bk1	\([0, 1, 0, -11807480, -15620214572]\)	\(1841373668746009/31443200\)	\(3108710029642956800\)	\([2]\)	\(1105920\)	\(2.6779\)	\(\Gamma_0(N)\)-optimal
23120.j3	23120bk2	\([0, 1, 0, -11437560, -16644301100]\)	\(-1673672305534489/241375690000\)	\(-23864206836931010560000\)	\([2]\)	\(2211840\)	\(3.0245\)
23120.j1	23120bk3	\([0, 1, 0, -19275240, 6400558900]\)	\(8010684753304969/4456448000000\)	\(440597795204759552000000\)	\([2]\)	\(3317760\)	\(3.2272\)
23120.j4	23120bk4	\([0, 1, 0, 75424280, 50757814068]\)	\(479958568556831351/289000000000000\)	\(-28572702478336000000000000\)	\([2]\)	\(6635520\)	\(3.5738\)

Rank

The elliptic curves in class 23120bk have rank \(1\).

Complex multiplication

The elliptic curves in class 23120bk do not have complex multiplication.

Modular form 23120.2.a.bk

Isogeny matrix

The \(i,j\) entry is the smallest degree of a cyclic isogeny between the \(i\)-th and \(j\)-th curve in the isogeny class, in the Cremona numbering.

\(\left(\begin{array}{rrrr} 1 & 2 & 3 & 6 \\ 2 & 1 & 6 & 3 \\ 3 & 6 & 1 & 2 \\ 6 & 3 & 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.